Some differential and integral equations with applications to Toeplitz operators

Lee YJ; Zhu KH

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Some differential and integral equations with applications to Toeplitz operators

机译：一些微分和积分方程及其在Toeplitz算子中的应用

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摘要

We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz operators on the pluriharmonic Bergman space. In addition, pluriharmonic symbols of normal Toeplitz operators are characterized. Also, zero semi-commutators for certain classes of Toeplitz operators are characterized.

机译：我们解决了一定的微分方程和积分方程组。作为应用，我们描述了在多谐Bergman空间上交换Toeplitz算符的全纯符号。此外，还描述了普通Toeplitz算符的多谐波符号。而且，表征了某些类别的Toeplitz算子的零半换向器。

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来源
《Integral equations and operator theory》 |2002年第4期|共14页
作者
Lee YJ; Zhu KH;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
PLURIHARMONIC SYMBOLS; BERGMAN SPACE;

机译：PLURIHARMONIC SYMBOLS;BERGMAN SPACE;

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专利

1. Some differential and integral equations with applications to Toeplitz operators [J] . Lee YJ, Zhu KH Integral equations and operator theory . 2002,第4期

机译：一些微分和积分方程及其在Toeplitz算子中的应用
2. On Some Two-Dimensional Singular Integral Operators and Their Applications to Elliptic Systems of Differential Equations with Singular Coefficients [J] . L. G. Mikhailov, G. Dzhangibekov, D. Odinabekov Doklady. Mathematics . 2006,第1期

机译：二维奇异积分算子及其在奇异系数微分方程椭圆系统中的应用
3. SINGULAR　INTEGRAL　OPERATORS　AND　SINGULAR　QUADRATURE　OPERATORS　ASSOCIATED　WITH　SINGULAR　INTEGRAL　EQUATIONS　OF　THE　FIRST　KIND　AND　THEIR　APPLICATIONS [J] . 杜金元数学物理学报：B辑英文版 . 1995,第002期

机译：奇异的积分运算符和奇异正交运算符与第一类及其应用的奇异积分方程相关联
4. Differential Integral Equation with Fractional-Order Integral Operators [C] . Ye Yan, rnChunhai Kou ICIHDS 2007;International conference on impulsive and hybrid dynamical systems . 2007

机译：带分数阶积分算子的微分积分方程
5. Lineer Eliptik k?smi Diferensiyel Denklemlerde Integral operat?rler =Integral operators in linear elliptic partial differential equations [D] . Ya??z, ?brahim. 2021

机译：线性椭圆k？SMI差动方程积分操作？滚子=线性椭圆局部微分方程中的积分运算符
6. Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators [O] . K. Zhukovsky -1

机译：一类微分方程的解：运算微积分和逆微分算子
7. Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations [O] . Jindřich Nečas 1972

机译：Fredholm替代非线性运算符和应用于部分微分方程和整体方程的应用
8. APPLICATION OF INTEGRAL OPERATORS TO SINGULAR DIFFERENTIAL EQUATIONS AND TO COMPUTATIONS OF COMPRESSIBLE FLUID FLOWS [R] . Stefan Bergman 1966

机译：积分算子在奇异微分方程中的应用及可压缩流体的计算

Some differential and integral equations with applications to Toeplitz operators

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